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Finding the Fourth Proportional to 220,942.40, 304,900.36 and 120,340.40

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Solution

The fourth proportional to 220,942.40, 304,900.36 and 120,340.40 is: 166,069.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,942.40 : 304,900.36 = 120,340.40 : x
  2. Step 2: Convert to fraction form
    220,942.40/304,900.36 = 120,340.40/x
  3. Step 3: Cross multiply
    220,942.40x = 304,900.36 × 120,340.40
  4. Step 4: Simplify right side
    220,942.40x = 36,691,831,282.54
  5. Step 5: Solve for x
    x = 36,691,831,282.54/220,942.40
  6. Step 6: Final answer
    x = 166,069.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.